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Finding the Fourth Proportional to 22,408.32, 33,591.71 and 9,921.69

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Solution

The fourth proportional to 22,408.32, 33,591.71 and 9,921.69 is: 14,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.32 : 33,591.71 = 9,921.69 : x
  2. Step 2: Convert to fraction form
    22,408.32/33,591.71 = 9,921.69/x
  3. Step 3: Cross multiply
    22,408.32x = 33,591.71 × 9,921.69
  4. Step 4: Simplify right side
    22,408.32x = 333,286,557.99
  5. Step 5: Solve for x
    x = 333,286,557.99/22,408.32
  6. Step 6: Final answer
    x = 14,873.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.